Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
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Publication:1971065
DOI10.1006/ffta.1999.0266zbMath0972.14025OpenAlexW1991160481MaRDI QIDQ1971065
José I. Farrán, Antonio Campillo
Publication date: 30 October 2001
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1999.0266
Linear codes (general theory) (94B05) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Computational aspects of algebraic curves (14Q05) Riemann surfaces; Weierstrass points; gap sequences (14H55)
Related Items (18)
On the evaluation codes given by simple \(\delta \)-sequences ⋮ Suzuki-invariant codes from the Suzuki curve ⋮ Towards a better understanding of the semigroup tree ⋮ Computing the Feng-Rao distances for codes from order domains ⋮ AG codes and AG quantum codes from the GGS curve ⋮ Quantum codes from a new construction of self-orthogonal algebraic geometry codes ⋮ Hermitian-invariant codes from the Hermitian curve ⋮ On Multi-Index Filtrations Associated to Weierstraß Semigroups ⋮ Evaluation codes defined by finite families of plane valuations at infinity ⋮ AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves ⋮ Triples of rational points on the Hermitian curve and their Weierstrass semigroups ⋮ An improvement of the Feng-Rao bound on minimum distance ⋮ Goppa-like bounds for the generalized Feng-Rao distances. ⋮ On the generalized Feng-Rao numbers of numerical semigroups generated by intervals ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve ⋮ Quantum codes from one-point codes on norm-trace curves ⋮ Antonio Campillo ⋮ Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
Cites Work
- Algebroid curves in positive characteristic
- Die Wertehalbgruppe einer ebenen irreduciblen algebroiden Kurve
- Irreducibility criterion for germs of analytic functions of two complex variables
- Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
- Syzygies of affine toric varieties
- Group codes on certain algebraic curves with many rational points
- Decoding algebraic-geometric codes up to the designed minimum distance
- On Planar Curves
- On the decoding of algebraic-geometric codes
- The minimum distance of codes in an array coming from telescopic semigroups
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